SOLUTION: the second side of a triangular deck is 5 feet longer than the shortest side and a third side is 5 feet short than twice the length of the shortest side. if the perimeter is 52 ft
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Question 986670: the second side of a triangular deck is 5 feet longer than the shortest side and a third side is 5 feet short than twice the length of the shortest side. if the perimeter is 52 ft what are the lengths of the three sides.
Found 2 solutions by Cromlix, solver91311:
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Shortest side = 'x'
Second side = x + 5
Third side = 2x - 5
Perimeter = Three sides added together
52 ft = x + (x + 5) + (2x - 5)
52 ft = x + x + 5 + 2x - 5
Collect like terms
4x = 52 ft
x = 13 ft
Shortest side = 13 ft.
Second side = 18 ft.
Third side = 21 ft
Hope this helps :-)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
is the short side, 
is the second side. 
is the long side.
\ +\ (2x\ -\ 5)\ =\ 52)
Solve for , then calculate 
and
John
My calculator said it, I believe it, that settles it
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